Large-scale drift and Rossby wave turbulence

Harper, Katie L.; Nazarenko, Sergey

doi:10.1088/1367-2630/18/8/085008

Cited by 4 publications

(3 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the large-scale limit ρk 1, which is more relevant to fusion plasmas, there is a fourth invariant [43], termed the semi-action [35]. The Fjørtoft argument was extended to this four-invariant case by Harper and Nazarenko [44]. Classifying the condensation behaviour in this case, using the methodology we have developed here, is an obvious next step in fully characterising Rossby and drift wave turbulence.…”

Section: Discussionmentioning

confidence: 98%

Equilibria and condensates in Rossby and drift wave turbulence

Skipp,

Nazarenko

2021

Preprint

View full text Add to dashboard Cite

We study the thermodynamic equilibrium spectra of the Charney-Hasegawa-Mima (CHM) equation in its weakly nonlinear limit. In this limit, the equation has three adiabatic invariants, in contrast to the two invariants of the 2D Euler or Gross-Pitaevskii equations, which are examples for comparison. We explore how the third invariant considerably enriches the variety of equilibrium spectra that the CHM system can access. In particular we characterise the singular limits of these spectra in which condensates occur, i.e. a single Fourier mode (or pair of modes) accumulate(s) a macroscopic fraction of the total invariants. We show that these equilibrium condensates provide a simple explanation for the characteristic structures observed in CHM systems of finite size: highly anisotropic zonal flows, large-scale isotropic vortices, and vortices at small scale. We show how these condensates are associated with combinations of negative thermodynamic potentials (viz. temperature).

show abstract

Section: Discussionmentioning

confidence: 98%

Equilibria and condensates in Rossby and drift wave turbulence

Skipp,

Nazarenko

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…In the large-scale limit ρk 1, which is more relevant to fusion plasmas, there is a fourth invariant [46], termed the semi-action [36]. The Fjørtoft argument was extended to this four-invariant case by Harper and Nazarenko [47]. Classifying the condensation behaviour in this case, using the methodology we have developed here, is an obvious next step in fully characterising Rossby and drift WT.…”

Section: Discussionmentioning

confidence: 98%

Equilibria and condensates in Rossby and drift wave turbulence

Skipp

Nazarenko

2021

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

We study the thermodynamic equilibrium spectra of the Charney- Hasegawa-Mima (CHM) equation in its weakly nonlinear limit. In this limit, the equation has three adiabatic invariants, in contrast to the two invariants of the 2D Euler or Gross-Pitaevskii equations, which are examples for comparison. We explore how the third invariant considerably enriches the variety of equilibrium spectra that the CHM system can access. In particular we characterise the singular limits of these spectra in which condensates occur, i.e. a single Fourier mode (or pair of modes) accumulate(s) a macroscopic fraction of the total invariants. We show that these equilibrium condensates provide a simple explanation for the characteristic structures observed in CHM systems of finite size: highly anisotropic zonal flows, large-scale isotropic vortices, and vortices at small scale. We show how these condensates are associated with combinations of negative thermodynamic potentials (e.g. temperature).

show abstract

“…Digital bispectral analysis method can be applied to the studying of fluid turbulence, [1] plasma saturated turbulence, [2][3][4][5] and other nonlinear systems, which has proved to be a very important data analysis technology in practice. In the late 1980s, Ritz et al studied this problem and presented an algorithm using bispectral analysis technique.…”

Section: Introductionmentioning

confidence: 99%

A nonlinear wave coupling algorithm and its programing and application in plasma turbulences

Yong¹,

Shen²,

Dong³

et al. 2022

Chinese Phys. B

View full text Add to dashboard Cite

The fully developed turbulence can be regarded as a nonlinear system, with wave coupling inside, which causes the nonlinear energy transfer, and drives the turbulence to develop further or be suppressed. Spectral analysis is one of the most effective methods to study turbulence system. In order to apply it in the study of the nonlinear wave coupling process of edge plasma turbulence, an efficient algorithm based on spectral analysis technology was proposed to solve the nonlinear wave coupling equation. The algorithm is based on a mandatory temporal static condition after separating the nonideal spectra from the ideal spectra. The realization idea and programing flow were given. According to the characteristics of plasma turbulence, the simulation data were constructed and used to verify the algorithm and its implementation program. The simulation results and examples showed the accuracy of the algorithm and the corresponding program, which could play a great role in the study of the energy transfer in edge plasma turbulences. As an application, the energy cascade analysis of typical edge plasma turbulence was carried out using the results of a case calculation. Consequently, a physical image of the energy transfer in a kind of fully developed turbulence was constructed, which confirmed that the energy transfer in this turbulent system was from lower- to higher-frequency regions and from linear growing to damping waves.

show abstract

Large-scale drift and Rossby wave turbulence

Cited by 4 publications

References 18 publications

Equilibria and condensates in Rossby and drift wave turbulence

Equilibria and condensates in Rossby and drift wave turbulence

Equilibria and condensates in Rossby and drift wave turbulence

A nonlinear wave coupling algorithm and its programing and application in plasma turbulences

Contact Info

Product

Resources

About